-6=2(3x+4)/(2x-12)

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Solution for -6=2(3x+4)/(2x-12) equation:



-6=2(3x+4)/(2x-12)
We move all terms to the left:
-6-(2(3x+4)/(2x-12))=0
Domain of the equation: (2x-12))!=0
x∈R
We multiply all the terms by the denominator
-(2(3x+4)-6*(2x-12))=0
We calculate terms in parentheses: -(2(3x+4)-6*(2x-12)), so:
2(3x+4)-6*(2x-12)
We multiply parentheses
6x-12x+8+72
We add all the numbers together, and all the variables
-6x+80
Back to the equation:
-(-6x+80)
We get rid of parentheses
6x-80=0
We move all terms containing x to the left, all other terms to the right
6x=80
x=80/6
x=13+1/3

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